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The Frenchman ended unseeded Briton James Ward's run with a 6-3, 7-6 (7) victory in Saturday's other semifinal.
Andy Murray of Britain overwhelmed Andy Roddick 6-3, 6-1 to reach the final of the Aegon championships at Queen's Club.
The second seeded Scot, who won the title in 2009, produced a fine all-round display against an error-prone opponent to win their semifinal in just 59 minutes.
Murray served 13 aces and ensured Roddick, the third-seeded American, failed in his attempt to become the first player to win five titles at the pre-Wimbledon tournament.
"It was just one of those days," Murray said. "I hardly missed a ball and that doesn't happen too often on tour. Everything that touched my racquet was going in and it felt great out there.
"I got off to a good start. Andy's one of the toughest guys on the tour to break, and I managed to get up an early break in both sets, which helped."
Murray broke for a 2-0 lead when Roddick netted a backhand slice, and that was enough to decide the outcome of the opening set.
Roddick was then broken at the start of the second set when he netted a forehand volley, and another error at net gave Murray a further break and a commanding 4-1 lead.
Murray closed out the match with a fourth break when Roddick netted a weak backhand.
"He played great," Roddick said. "I felt like I hit the ball well. I just thought he played too good today. I mixed it up. I tried going in at different sides. You try different things. He just played better than I did. Everything he touched turned to gold."
Despite the comprehensive defeat, Roddick is not going to panic as he prepares for Wimbledon, which begins June 20.
"I think fine-tuning more so than inventing the wheel next week," he said. "Again, I think he did a lot right today. I don't think I did a whole lot wrong. Maybe just execution on a couple balls, so I feel good going into the off week."
Tsonga, who has won two challenger titles on grass but will be playing his first ATP grass court final, broke to lead 2-0 against No. 216 Ward and then held off two break points at 3-1 to take the opening set.
Ward, who took out fourth seed Stanislas Wawrinka and defending champion Sam Querrey on his way to the semifinals, continued to challenge in the second set, breaking to lead 2-0.
But Tsonga broke back on his fourth break point at 4-2 down and took the tiebreaker on his second match point.
"I was a little bit worried in the second set," Tsonga said. "He had one occasion to break me and I came back. It was fantastic to win in two sets because in the third set, with the crowd with him, it would be difficult."
